given the height ( distance between the parallel sides ) of the rhombus is 5.6cm.
perimeter of the rhombus = 40cm
therefore side × 4 = 40cm
==> side = 40/4
==> side = 10cm
VERIFICATION :-
perimeter of the rhombus = side × 4
= 10 × 4
= 40cm
hence verified
thus the side of the rhombus is 10cm.
now,
to find the area of a rhombus, we have to formulas. one is 1/2 × d1 × d2. in this both diagonals are given. second one is b × h. as we know rhombus is also a parallelogram. base is the side of the rhombus and height is the perpendicular distance.
base = 10cm
height = 5.6cm
area of the rhombus = b × h
= 10 × 5.6
= 56cm²
given the Length of one diagonal is 7cm.
area of the rhombus = 56cm²
therefore 1/2 × d1 × d2 = 56cm²
==> 1/2 × 7 × d2 = 56cm²
==> 3.5 × d2 = 56cm²
==> d2 = 56/3.5
==> d2 = 16cm
VERIFICATION :-
area of the rhombus = 1/2 × d1 × d2
= 1/2 × 7 × 16
= 7 × 8
= 56cm²
hence verified
thus the another diagonal of the rhombus is 16cm. Step-by-step explanation:
Answers & Comments
given the height ( distance between the parallel sides ) of the rhombus is 5.6cm.
perimeter of the rhombus = 40cm
therefore side × 4 = 40cm
==> side = 40/4
==> side = 10cm
VERIFICATION :-
perimeter of the rhombus = side × 4
= 10 × 4
= 40cm
hence verified
thus the side of the rhombus is 10cm.
now,
to find the area of a rhombus, we have to formulas. one is 1/2 × d1 × d2. in this both diagonals are given. second one is b × h. as we know rhombus is also a parallelogram. base is the side of the rhombus and height is the perpendicular distance.
base = 10cm
height = 5.6cm
area of the rhombus = b × h
= 10 × 5.6
= 56cm²
given the Length of one diagonal is 7cm.
area of the rhombus = 56cm²
therefore 1/2 × d1 × d2 = 56cm²
==> 1/2 × 7 × d2 = 56cm²
==> 3.5 × d2 = 56cm²
==> d2 = 56/3.5
==> d2 = 16cm
VERIFICATION :-
area of the rhombus = 1/2 × d1 × d2
= 1/2 × 7 × 16
= 7 × 8
= 56cm²
hence verified
thus the another diagonal of the rhombus is 16cm.
Step-by-step explanation: